Maths4U Original · Short practice

After removing zero differences, 12 independent paired differences contain 9 positive and 3 negative values. The alternative is a positive population median difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the expected positive count under \(\displaystyle H_{0}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

After removing zero differences, 13 independent paired differences contain 12 positive and 1 negative values. The alternative is a positive population median difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the expected positive count under \(\displaystyle H_{0}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

After removing zero differences, 13 independent paired differences contain 12 positive and 1 negative values. The alternative is a positive population median difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the exact one-sided p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

After removing zero differences, 14 independent paired differences contain 12 positive and 2 negative values. The alternative is a positive population median difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the exact one-sided p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Independent paired differences are \(-1,2,-3,4,5,6,7\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the exact upper-tail p-value for W+.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Independent paired differences are \(-1,2,3,-4,5,6,7,8\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the exact upper-tail p-value for W+.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(3,4,5,6,7\) and B: \(1,2,8,9,10,11\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the null expected rank sum for A.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(1,2,3\) and B: \(4,5,6,7,8,9,10\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the null expected rank sum for A.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.